Maths-
General
Easy

Question

Find the midpoint and length of each side using the placement
below. What is the advantage of using 2h instead of h for the leg lengths?

hintHint:

Use distance formula.

The correct answer is: Midpoint of EF = (h,0), midpoint of ED =(0,h) and midpoint of DF =(√2 h)


    Complete step by step solution:
    Here, length of EF = 2h (x axis direction)
    Length of ED = 2h (y axis direction)
    Since △DEF is right angled triangle, we have D E squared plus E F squared equals D F squared

    not stretchy rightwards double arrow D F equals square root of left parenthesis 2 h right parenthesis squared plus left parenthesis 2 h right parenthesis squared end root

    not stretchy rightwards double arrow D F equals square root of 4 h squared plus 4 h squared end root
    not stretchy rightwards double arrow D F equals 2 square root of 2 h
    Midpoint of EF = (h,0), midpoint of ED =(0,h) and midpoint of DF equals left parenthesis square root of 2 h right parenthesis

    Related Questions to study

    General
    Maths-

    A sum of Rs. 4,000 is lent for 5 years at the rate of 15% per annum. Find the simple interest.?

    A sum of Rs. 4,000 is lent for 5 years at the rate of 15% per annum. Find the simple interest.?

    Maths-General
    General
    Maths-

    Place a rectangle in a coordinate plane in a way that is
    convenient for finding side lengths. Assign coordinates to each vertex.
     

    Place a rectangle in a coordinate plane in a way that is
    convenient for finding side lengths. Assign coordinates to each vertex.
     

    Maths-General
    General
    Maths-

    MN is the midsegment of △ ABC.
    Find MN.
    Also, find AC if CN = 35 cm

    MN is the midsegment of △ ABC.
    Find MN.
    Also, find AC if CN = 35 cm

    Maths-General
    parallel
    General
    Maths-

    In △ ABC, AM ≅ BM
    BQ ≅ QC
    Prove that MQ ∥ AC.

    In △ ABC, AM ≅ BM
    BQ ≅ QC
    Prove that MQ ∥ AC.

    Maths-General
    General
    Maths-

    Write a coordinate proof.
    Any right isosceles triangle can be subdivided into a pair of congruent right isosceles triangles.(Hint: Draw the segment from the right angle to the midpoint of the hypotenuse.)

    Write a coordinate proof.
    Any right isosceles triangle can be subdivided into a pair of congruent right isosceles triangles.(Hint: Draw the segment from the right angle to the midpoint of the hypotenuse.)

    Maths-General
    General
    Maths-

    NQ, MN and MQ are the midsegments of △ ABC. Find BM.

    NQ, MN and MQ are the midsegments of △ ABC. Find BM.

    Maths-General
    parallel
    General
    Maths-

    MN is the midsegment of △ ABC.
    Find MN if BC = 35 m.

    MN is the midsegment of △ ABC.
    Find MN if BC = 35 m.

    Maths-General
    General
    Maths-

    MN is the midsegment of △ ABC.
    Find BC if MN = 17 cm.

    MN is the midsegment of △ ABC.
    Find BC if MN = 17 cm.

    Maths-General
    General
    Maths-


    In the figure above, RT = TU. What is the value of x?


    In the figure above, RT = TU. What is the value of x?

    Maths-General
    parallel
    General
    Maths-

    For the graph below , write an inequality and explain the reasoning :

    Note:
    We do not use < or > for infinity in inequalities, since the variable extends to infinite and has no real fixed value.

    For the graph below , write an inequality and explain the reasoning :

    Maths-General

    Note:
    We do not use < or > for infinity in inequalities, since the variable extends to infinite and has no real fixed value.

    General
    Maths-

    In what time will Rs 10000 earn an interest of Rs. 12600 at 18% per annum simple interest?

    In what time will Rs 10000 earn an interest of Rs. 12600 at 18% per annum simple interest?

    Maths-General
    General
    Maths-

    The formula below is often used by project managers to compute E, the estimated time to complete a job, where O is the shortest completion time, P is the longest completion time, and M is the most likely completion time.
    E equals fraction numerator O plus 4 M plus P over denominator 6 end fraction
    Which of the following correctly gives P in terms of E, O, and M?

    The formula below is often used by project managers to compute E, the estimated time to complete a job, where O is the shortest completion time, P is the longest completion time, and M is the most likely completion time.
    E equals fraction numerator O plus 4 M plus P over denominator 6 end fraction
    Which of the following correctly gives P in terms of E, O, and M?

    Maths-General
    parallel
    General
    Maths-

    A square has vertices (0, 0), (3, 0), and (0, 3). Find the fourth
    Vertex.

    A square has vertices (0, 0), (3, 0), and (0, 3). Find the fourth
    Vertex.

    Maths-General
    General
    Maths-

    Let a, b and c be real numbers, c≠0, Show that each of the following statements is true :
    1. If a>b and c<0 , then ca< cb
    2. If a>b and c<0 , then .a over c less than b over c

    Note:
    Whenever we multiply or divide an inequality by a negative number, the direction of the inequality symbol changes.

    Let a, b and c be real numbers, c≠0, Show that each of the following statements is true :
    1. If a>b and c<0 , then ca< cb
    2. If a>b and c<0 , then .a over c less than b over c

    Maths-General

    Note:
    Whenever we multiply or divide an inequality by a negative number, the direction of the inequality symbol changes.

    General
    Maths-


    The graph above shows the distance traveled d, in feet, by a product on a conveyor belt m minutes after the product is placed on the belt. Which of the following equations correctly relates d and m?


    The graph above shows the distance traveled d, in feet, by a product on a conveyor belt m minutes after the product is placed on the belt. Which of the following equations correctly relates d and m?

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.